314136135047601 has 12 divisors (see below), whose sum is σ = 477633889546320. Its totient is φ = 198401769503640.

The previous prime is 314136135047591. The next prime is 314136135047629. The reversal of 314136135047601 is 106740531631413.

314136135047601 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 3 + 6 + 1 + 35 + 0 + 4 + 7 + 601 = 666.

It is not a de Polignac number, because 314136135047601 - 2⁵ = 314136135047569 is a prime.

It is a super-2 number, since 2×314136135047601² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314136135047671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 918526710495 + ... + 918526710836.

It is an arithmetic number, because the mean of its divisors is an integer number (39802824128860).

Almost surely, 2^{314136135047601} is an apocalyptic number.

It is an amenable number.

314136135047601 is a deficient number, since it is larger than the sum of its proper divisors (163497754498719).

314136135047601 is a wasteful number, since it uses less digits than its factorization.

314136135047601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837053421356 (or 1837053421353 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 314136135047601 in words is "three hundred fourteen trillion, one hundred thirty-six billion, one hundred thirty-five million, forty-seven thousand, six hundred one".